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sattari [20]
2 years ago
10

Suppose the number of calls per hour to an answering service follows a poisson process with rate 4.

Mathematics
1 answer:
Fantom [35]2 years ago
3 0
With a mean of λ , the probability mass distribution (pmf) is given by
P(k,\lambda)=\lambda^k*e^(-\lambda)/k!

for &lambda; = 4, and k<2  (i.e. k=0 or 1)

P(k<2, &lambda; )=P(k=1, &lambda; ) + P(k=1, &lambda; )
=4^0*e^(-4)/4!+4^1*e^(-4)/1!
=4^0*e^(-4)/4!+4^1*e^(-4)/1!
=0.01832+0.07326
=0.09158 (to the fifth place of decimal)

Note: Poisson processes have no memory, so 2 calls in first hour has the same probability as 2 calls in any other hour.

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Tiffany’s allowance is reduced $1.25 every time she forgets to clean her room.
snow_tiger [21]

Answer:

$8.75 is your answer.

Step-by-step explanation:

What you do is you multiply 1.25 by 7.

<em>1.25 x 7 = $8.75</em>

$8.75 is your answer.

4 0
3 years ago
you want to order carpet for an area in your house the room the room measures 12x10 feet remember A=LxW
Fantom [35]

Answer:

The carpet would have to be 120 square feet.

Step-by-step explanation:

12x10 equals 120.


Hope this helps.

7 0
3 years ago
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You need to estimate 6.849 x 11 I need help please
makkiz [27]
75.339
nearest tenth: 75.3
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8 0
3 years ago
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Is anyone able to solve this?
Olenka [21]

Explanation:

To find x we need to find the unknown side that connects the two triangles using the Pythagorean theorem:

a² + b² = c² (c is always hypotenuse)

So:

a² + 6² = 9²

a² = 9² - 6²

a² = 81 - 36

a² = 45

a = sqrt45

Now we do the same thing for the other triangle:

x² + 5² = sqrt45²

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4 0
9 months ago
Can someone answer this pls??
babymother [125]
<h3><u>Explanation</u></h3>
  • Given the expressions and values.

\frac{2ab +  {a}^{2}  {b}^{2}  - a}{ab}  \\  \begin{cases} a  =  - 1 \\ b = 1 \end{cases}

  • Substitute the value of a and b in the expression to evaluate.

\frac{2( - 1)(1) +  {( - 1)}^{2}  {(1)}^{2}  - ( - 1)}{( - 1)(1)}

  • Evaluate

\frac{2( - 1) + 1(1) + 1}{ - 1}  \\  \frac{ - 2 + 1 + 1}{ - 1}  \\  \frac{ - 2 + 2}{ - 1}  \\  \frac{0}{ - 1}  \Longrightarrow 0

<h3><u>Answer</u></h3>

<u>\large \boxed{0}</u>

3 0
2 years ago
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